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Paillère, H.; Boxho, J.; Degrez, G.; Deconinck, H.

Multidimensional upwind residual distribution schemes for the convection-diffusion equation. (English) Zbl 0886.76045

Int. J. Numer. Methods Fluids 23, No. 9, 923-936 (1996).
Summary: Multidimensional residual distribution schemes for the convection-diffusion equation are described. Compact upwind cell vertex schemes are used for the discretization of the convective term. For the diffusive term, two approaches are compared: the classical finite element Galerkin formulation, which preserves the compactness of the stencil used for the convective part, and various residual-based approaches in which the diffusive term, evaluated after a reconstruction step, is upwinded along with the convective term.

Cited in 10 Documents

MSC:

76M10 Finite element methods applied to problems in fluid mechanics
76R99 Diffusion and convection

Keywords:

advection-diffusion; compact upwind cell vertex schemes; diffusive term; finite element Galerkin formulation; residual-based approaches
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References:

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